Okay, so I’m a slob in the kitchen…Bought some potatoes 3 weeks ago, didnt use 'em all, and stored a few in a basket exposed to light. Now they’ve got a light greenish color when peeled.
Am I gonna die?
No, but the greenish part might be bitter tasting. There was a post on this a year or so ago and someone knew what the chemical change was that caused the green. You might search in GQ for it.
Yes.
A good explanation at Wikipedia. I used to peel them thickly and use them until my son did a science project in high school. After I read it I started tossing them in the compost heap.
Some varieties of potatoes build up toxic levels of solanine in the green tissues, and particularly the eyes. There’s a bit of discussion of that in this thread: Onions and Potatos…
Solanine poisoning is unpleasant, however, it seems that potato growers have moved away from varieties that produce high levels of the alkaloid since the 1970’s.
Cecil’s take in Are green potato chips poisonous?
Well, here’s a personal account: I grew some potatoes in my back yard, and some of them had grown very close to the surface where they apparently got some sunlight and were quite green. I ate them anyway, because I had grown them myself. I felt ill afterward, and my throat felt raw - I can’t even look at a green potato now, or lick my fingers if I’ve been cutting up perfectly fine raw potatoes.
Potatoes are cheap. It’s not worth it.
Build a spud gun and put them to use as ammo. 
I’ve eaten the green bits for years and never come to any harm.
At our house we cut them out and use the rest of the spud.
When I was going to college the guy at our trailer part set aside some land for us to plant a little garden. Neither my wife nor I knew much in the way of horticulture. Anyway we had some potatos and they grew fast so as to crack the ground exposing the tubers which turned green. I mentioned to my mother that we had potatos but they weren’t “ripe” yet. She roared with laughter and my dad rolled on the ground in mirth. She then explained that they were “sunburned” and we should scrape the dirt over them to prevent the green when the ground opened up like that. And she went on to say that we should just cut off the green part and go ahead and use them.
I suppose if you are hypersensitives, like being hyperallergic, there might be a problem. However, I think all of the cautions about possible toxicity are sort of like the warnings the pharmacist gives you about possible side effects of medicine. If you heeded them, in most cases, you’d never take any medicine of any kind under any circumstances.